using OrdinaryDiffEqLowStorageRK
using Trixi

###############################################################################

equations = TrafficFlowLWREquations1D()

# Use first order finite volume to prevent oscillations at the shock
solver = DGSEM(polydeg = 3, surface_flux = flux_hll)

coordinates_min = 0.0 # minimum coordinate
coordinates_max = 2.0 # maximum coordinate

# Create a uniformly refined mesh with periodic boundaries
mesh = TreeMesh(coordinates_min, coordinates_max,
                initial_refinement_level = 4,
                periodicity = true)

###############################################################################
# Specify non-periodic boundary conditions

initial_condition = initial_condition_convergence_test
semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver;
                                    source_terms = source_terms_convergence_test,
                                    boundary_conditions = boundary_condition_periodic)

###############################################################################
# ODE solvers, callbacks etc.

tspan = (0.0, 2.0)
ode = semidiscretize(semi, tspan)

summary_callback = SummaryCallback()

analysis_interval = 100
analysis_callback = AnalysisCallback(semi, interval = analysis_interval)

alive_callback = AliveCallback(analysis_interval = analysis_interval)

stepsize_callback = StepsizeCallback(cfl = 1.6)

callbacks = CallbackSet(summary_callback,
                        analysis_callback,
                        alive_callback,
                        stepsize_callback)

###############################################################################
# run the simulation

sol = solve(ode, CarpenterKennedy2N54();
            dt = 42, # solve needs some value here but it will be overwritten by the stepsize_callback
            ode_default_options()..., callback = callbacks);
